Exam 4: Time Value of Money

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Rule of 72 Approximately what interest rate is needed to double an investment over six years?

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B

Compounding with Different Interest Rates A deposit of $700 earns interest rates of 10 percent in the first year and 7 percent in the second year.What would be the second year future value?

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C

Which is more valuable,receiving $775 today or receiving $885 in 2.5 years if interest rates are 7.25 percent?

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A

The interest rate,i,which we use to calculate present value,is often referred to as the:

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You are offered a choice between $770 today and $815 one year from today.Assume that interest rates are 4 percent.Which do you prefer?

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Moving Cash Flows What is the value in year 3 of a $250 cash flow made in year 15 when interest rates are 12 percent?

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You are considering an investment that is expected to pay 3 percent in year 1,5 percent in years 2 and 3 and 7 percent in year 4.If you invest $1,000 today,what will this investment be worth at the end of the fourth year?

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A $2 million deposit earns 7 percent for 13 years.If the account earns 9 percent per year forever after that,how long will it take to grow to $5 million?

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You deposit $20,000 in an account that doubles in 7 years.How many years will it take the account to be reduced to its original value if it loses 12 percent per year?

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Solving for Rates What annual rate of return is implied on a $1,000 loan taken next year when $1,500 must be repaid in year 5?

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Which of the following would you prefer?

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If an average home in your town currently costs $250,000,and house prices are expected to grow at an average rate of 3 percent per year,what will a house cost in 8 years?

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What is the value in year 10 of a $1,000 cash flow made in year 5 if interest rates are 9 percent in years 6 and 7 and increase to 13 percent in the remaining years?

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A firm's net income last year was $1.5 million.Its net income grew 5 percent during the last 5 years.If that growth rate continues,how long will it take for the firm's net income to double?

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Solving for Time How long will it take $3,000 to reach $5,000 when it grows at 7 percent per year?

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Explain how "interest rate" and "rate of return" are similar,yet different.

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Solving for Rates What annual rate of return is earned on a $10,000 investment when it grows to $15,000 in 10 years?

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Scenario A: At age 27,you invest $1,500 that earns 9 percent each year.Scenario B: At age 40,you invest $2,500 that earns 11 percent per year.Under which scenario do you accumulate more money by age 60?

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Interest-on-Interest Consider a $2,000 deposit earning 6 percent interest per year for five years.How much total interest is earned on the original deposit (excluding interest earned on interest)?

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Moving Cash Flows What is the value in year 7 of a $700 cash flow made in year 3 when the interest rates are 10 percent?

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